Two pipes fill a tank. The times (in hours) taken individually are the roots of x^2 - 9x + 18 = 0. The quadratic whose roots are the reciprocals of these times (their per-hour filling rates) is:

Question

Accepted Answer

18x^2 - 9x + 1 = 0. Roots 3 and 6; reciprocals 1/3, 1/6. New sum = 1/2, new product = 1/18. Equation x^2 - 1/2x + 1/18 = 0; multiply by 18: 18x^2 - 9x + 1 = 0.

Two pipes fill a tank. The times (in hours) taken individually are the roots of $x^{2} - 9 x + 18 = 0$ .
The quadratic whose roots are the reciprocals of these times (their per-hour filling rates) is:

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More Class 10 Sum and Product of Roots practice

Two pipes fill a tank. The times (in hours) taken individually are the roots of x2−9x+18=0.The quadratic whose roots are the reciprocals of these times (their per-hour filling rates) is:

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Sum and Product of Roots practice

Two pipes fill a tank. The times (in hours) taken individually are the roots of $x^{2} - 9 x + 18 = 0$ .
The quadratic whose roots are the reciprocals of these times (their per-hour filling rates) is: